1 Introduction

Implantable medical devices (IMDs) are electronic devices placed inside the human body for various purposes of continuous monitoring, diagnosis, and treatment [1,2,3]. As taking partial care of medical analysis and healthcare, the IMDs have improved the quality of human life by minimizing contact between patient and hospital which will be especially desirable in the future where diverse epidemics are predicted since the Covid-19 pandemic [4, 5]. Thus, demand on IMDs is rapidly increasing, which can easily be witnessed from the expected global IMD market value of 179,032 M$ in 2030 [6]. With the ever-growing popularity, the IMDs are aggressively studied to develop. Since the IMDs are surgically inserted into the body and attached to biological tissue, physical size is one of the most important design factors which may impair surrounding tissues or hinder the movement of patients [7,8,9,10,11,12,13].

A typical IMD system consisting of an external transmitter (Tx) and implanted receiver (Rx) requires bidirectional data communication by which Tx sends data (downlink) to control or adjust the Rx while the Rx transfers data of recorded biological information back to the Tx (uplink) [14]. In general, the two-way transmission is conducted over two communication channels or a single channel with additional complex circuitry (e.g. time-division multiplexing circuit) which eventually increases the physical size of the Rx [15]. Moreover, the recent IMDs utilize RF-based technology such as Bluetooth or Wi-Fi to enable distant wireless communication. However, such RF-based technology causes high power consumption, eventually enlarging the circuit area due to the bulky battery as well as the wireless communication module itself [16]. In addition, RF wireless communication also suffers from privacy and security issues due to vulnerability to eavesdropping, possibly bringing patients into fatal risk without the use of complex cryptography techniques [17, 18].

In this work, a full-duplex (FD) enabled wireless power transfer (WPT) system via textile for miniaturized IMDs is presented. To realize bidirectional data transmission over a single channel without any complex circuitry, frequency shift-keying (FSK) and load shift-keying (LSK) are employed as downlink and uplink telemetries, respectively. Moreover, we utilize the battery-free near-field communication (NFC) method rather than RF wireless communication to overcome the aforementioned challenges. However, NFC wireless communication is available only when the Tx and Rx are placed very closely which is the major drawback of the NFC method. Hence, we utilize conductive thread embroidered on textile to extend the limited effective range of the NFC.

There have been several types of research that worked on the WPT system utilizing textile [19,20,21,22,23,24,25,26,27,28,29]. Heo et al. [19], Jiang et al. [20], Xu et al. [21], Escobedo et al. [22], Chang et al. [23, 26], Grabham et al. [24] and Sun et al. [25] analyzed detailed characteristics of textile and verified the feasibility of textile usage on the WPT system. However, they utilized textile as a driving coil so that rigid electronic elements of subsequent circuits have to be attached to the textile, which can possibly be damaged by dynamic movement or laundry process. On the other hand, the WPT system presented in [27,28,29] used textile as a medium of transferring power but they verified power transfer with on–off keying (OOK) on the LED without a specific data rate which can only support one-way data transmission. As illustrated in Fig. 1, the external Tx provides both power and data transmission to the battery-free Rx across textile while the Rx can also simultaneously send data back to the Tx even with a single communication channel. Unless the Tx escapes a certain distance from the textile, power, and data transmission are feasible at an arbitrary position near the body.

Fig. 1
figure 1

Illustration of wireless power and full duplex data transmission of implantable medical device system via textile

2 NFC range extension via textile

NFC-based devices have multiple advantages compared to RF-based devices. Among the various benefits, the most fundamental one is that the NFC-based devices can be battery-free whereas RF-based devices usually employ a bulky battery or energy harvester. Thus, RF-based devices are not favorable to biomedical or implantable devices due to their tight physical limitation. Although NFC-based devices are preferred for the above reason, they are hardly utilized in a variety of applications because of the short effective distance. NFC-based devices can function only within a few centimeters, and efficiency dramatically drops as the devices escape a certain distance from the Tx device. However, this challenge can be solved by the textile. Since the conductive thread can be regarded as a metal with high resistance, a coil-shaped thread embroidered on textile as shown in Fig. 2a can be seen as a low-Q inductor that is still able to induce the magnetic field. Thus, unlike the typical NFC-based system by which the Tx and Rx should be located at a short distance as illustrated in Fig. 2b, the in-between textile can be used as a medium of power transmission, eventually extending the transmission range by lengthening the in-between textile stage as shown in Fig. 2c. However, each textile coil should be closely located with the Tx and Rx to be inductively coupled. Considering that the Rx is a medical device implanted in a fixed location of the body whereas the Tx can be a smartphone in an IMD system, we assume that span-based daily cloth can also hold Tx at a specific position (e.g. inside a shirt pocket). Then, embroidered textile coils on the two appointed spots could maintain a short distance from the Tx and Rx. To minimize power loss caused by the conductive thread, we chose low resistance DEV-13814 as the conductive textile which has 27 Ω/m.

Fig. 2
figure 2

a Conductive thread embroidered on textile, circuit schematic of b typical NFC system and c textile-utilized NFC system

3 Conventional FD data transmission

3.1 FSK downlink telemetry

It is well known that FSK modulation has a variety of advantages compared to other modulation techniques. The FSK modulation not only has higher immunity to various distortions such as noise and other interference, but it is also easy to decode with simple circuit implementation [12]. However, conventional FSK that utilizes single resonant frequency suffers from narrow bandwidth, consequently decreasing power transfer efficiency (PTE) in a high-speed application. On the other hand, a dual-band FSK that utilizes two resonant frequencies can achieve high PTE at each resonant frequency [30]. As shown in Fig. 3a, the dual-band can be easily implemented with the serial connection of the LC-branch and the LC-tank in the Rx while an additional switch with a capacitor, Ctx2, is adopted on the Tx. This dual-band implementation realizes the FSK at two resonant frequencies, f1 and f2, which satisfies

$$f_{1} = { }\frac{1}{{2\pi \sqrt {L_{tx1} \left( {C_{tx1} + C_{tx2} } \right)} }} = \frac{1}{{2\pi \sqrt {(L_{rx1} + Z_{tank} )C_{rx1} } }},$$
(1)
$$f_{2} = { }\frac{1}{{2\pi \sqrt {L_{tx1} C_{tx1} } }} = \frac{1}{{2\pi \sqrt {L_{rx1} \left( {C_{rx1} \parallel Z_{tank} } \right)} }},$$
(2)
$$Z_{tank} = { }\left\{ {\begin{array}{*{20}c} {j\frac{{wL_{rx2} }}{{1 - w^{2} L_{rx2} C_{rx2} }} = L_{tank} @ f_{1} , } \\ { - j\frac{{wL_{rx2} }}{{w^{2} L_{rx2} C_{rx2} - 1}} = C_{tank} , @ f_{2} .} \\ \end{array} } \right.$$
(3)
Fig. 3
figure 3

a Circuit implementation of conventional FD transmission, concept of b FSK and c LSK, d conceptual overall waveforms

According to (3), the LC-tank in Rx acts as the equivalent inductor, Ltank, in the lower frequency, f1, and the equivalent capacitor, Ctank, in the higher frequency, f2. In the Tx, the switch either attaches or detaches Ctx2 by which two resonant frequencies are obtained at f1 and f2 based on (1) and (2). Hence, as illustrated in Fig. 3b, the dual-band implementation enables the FSK modulation with the high PTE at both frequencies.

3.2 LSK uplink telemetry

LSK modulation is typically used in the low-power or area-efficient applications because it can be easily implemented with a single switch without high power consumption. However, utilizing the LSK modulation as uplink telemetry with the conventional FSK downlink simultaneously is not feasible since it affects the frequency response of the received FSK signal. This issue is also solved by the dual-band module since the dual-band module provides a more robust transmission by which each carrier uses the resonant point of the respective band. Therefore, as shown in Fig. 3a, the LSK modulation is implemented in the Rx with a single switch and capacitor, CL. When the switch is closed, CL affects the system the resonant frequency which can be calculated as follows:

$$f_{reflected} = { }\frac{1}{{2\pi \sqrt {(L_{tx1} + L_{reflected} )C_{tx} } }},$$
(4)
$$L_{reflected} = { }jw^{3} k^{2} L_{tx1} L_{rx1} C_{L} ,$$
(5)
$${\text{where }}k{ } = { }\frac{M}{{\sqrt {L_{x} L_{y} } }}.$$

Based on (4) and (5), the reflected impedance from the CL shifts down and dislocates the system resonant frequency. Due to the resonant frequency shift, the amplitude of the carrier signal seen on Dup_out decreases at both f1 and f2 as shown in Fig. 3c. Therefore, LSK uplink and FSK downlink data can be decoded by the carrier amplitude and frequency difference at the same time. The conceptual overall waveform of the FD transmission is illustrated in Fig. 3d.

4 FD data transmission via textile

4.1 FSK downlink telemetry

In order to enable longer-distance wireless power transmission through the NFC method, the textile is utilized between the Tx and Rx by which the Tx coil, Ltx1, and Rx coil, Lrx1, are inductively coupled with the textile coils, L1 and L2, as shown in Fig. 4a. The in-between textile stage along with the Rx results in the reflected impedance which shifts the target resonant frequency although both the Tx and Rx are designed to precisely resonate at the target frequency. The reflection can be calculated as follows:

$$Z_{reflected} = { }\frac{{w^{2} k_{1}^{2} L_{1} L_{tx1} }}{{R_{1} + jw\left( {L_{1} + L_{2} } \right) + \frac{{w^{2} k_{2}^{2} L_{2} L_{rx1} }}{{R_{L} }}}},$$
(6)
$$C_{reflected} = { }\frac{{\left( {R_{1} + \frac{{w^{2} k_{2}^{2} L_{2} L_{rx1} }}{{R_{L} }}} \right)^{2} + w^{2} \left( {L_{1} + L_{2} } \right)^{2} }}{{w^{4} k_{1}^{2} L_{1} L_{tx1} \left( {L_{1} + L_{2} } \right)}},$$
(7)
$$f_{shifted} = { }\frac{1}{{2\pi \sqrt {L_{tx} \left( {C_{tx} \parallel C_{reflected} } \right)} }}.$$
(8)
Fig. 4
figure 4

a Circuit implementation of FD transmission via textile, concept of b FSK, and LSK c at f1, d at f2, e effect of Rrx2 and Rswitch, f conceptual overall waveform of the proposed system

Based on (6)–(8), reflected reactance can be seen as the serially connected capacitor on the Tx side which reduces the overall capacitance of the Tx and consequently shifts up the system resonant frequency as shown in Fig. 4b. Therefore, we compensate for it by increasing both Ctx1 and Ctx2 based on (7) and (8) to improve the decreased PTE due to the effect of the textile stage.

4.2 LSK uplink telemetry

The in-between textile stage also has influence on the effect of CL. The influenced reflection can be calculated as follows:

$$C_{CL\_on} = { }\frac{{w^{2} (L_{1} + L_{2} + C_{L} w^{2} k_{2}^{2} L_{2} L_{rx1} )^{2} + \left( {\frac{{w^{2} k_{2}^{2} L_{2} L_{rx1} }}{{R_{L} }} + R_{1} } \right)^{2} }}{{w^{4} k_{1}^{2} L_{1} L_{tx1} \left( {L_{1} + L_{2} + C_{L} w^{2} k_{2}^{2} L_{2} L_{rx1} } \right)^{2} }}$$
(9)
$$R_{CL\_off} = { }\frac{{\frac{{w^{2} k_{2}^{2} L_{2} L_{rx1} }}{{R_{L} }} + R_{1} }}{{w^{2} \left( {L_{1} + L_{2} } \right)^{2} + \left( {\frac{{w^{2} k_{2}^{2} L_{2} L_{rx1} }}{{R_{L} }} + R_{1} } \right)^{2} }},$$
(10)
$$R_{CL\_on} = { }\frac{{\frac{{w^{2} k_{2}^{2} L_{2} L_{rx1} }}{{R_{L} }} + R_{1} }}{{w^{2} \left( {L_{1} + L_{2} + C_{L} w^{2} k_{2}^{2} L_{2} L_{rx1} } \right)^{2} + \left( {\frac{{w^{2} k_{2}^{2} L_{2} L_{rx1} }}{{R_{L} }} + R_{1} } \right)^{2} }}.$$
(11)

Based on (9), the reflected reactance when CL is shorted can be seen as the serial capacitor, CCL-on, in the perspective of the Tx. However, unlike Lreflected from (5), CCL-on is not directly proportional to the capacitance of CL which has less impact on shifting the resonant frequency. Furthermore, according to (10) and (11), the reflected resistance decreases when CL is attached, eventually increasing the system quality factor. Therefore, attachment of CL brings the increased amplitude of carrier signal while attachment of CL in the conventional system without the textile stage dislocates the resonant frequency and brings the decreased amplitude at the target frequency. Since the LSK does not work as it does in the conventional system where CL is simply selected if it is high enough to dislocate the resonant frequency, careful selection of CL is required for the robust LSK transmission. Moreover, the proposed system utilizes the simultaneous dual-band FSK telemetry so that the LSK has to work in two frequencies. However, as illustrated in Fig. 4c, d, there is an optimal CL at each frequency where maximum amplitude difference is achieved due to the frequency-dependent factor, w, from (9) and (11). Thus, CL has to be selected considering the amplitude difference at both frequencies based on the (9)–(11). Nonetheless, compared to the conventional LSK, the amplitude difference is relatively smaller such that it may be susceptible to multiple variations and distortion. Hence, it is important to maximize the variation of reflected impedance on the Tx in order to enable more robust LSK transmission. Since minimized resistance Rrx2 of Lrx2 and Rswitch of MOSFET switch can magnify the amplitude as shown in Fig. 4e, the selection of high-Q Lrx2 and MOSFET switch with low on-resistance improves the robustness of LSK transmission. The conceptual overall waveform of the system is illustrated in Fig. 4f.

5 Measurement results

Figure 5 shows the overall schematic and components values of the proposed system. For frequency compensation due to the textile stage, Ctx1 and Ctx2 are selected with higher capacitance than the resonant capacitance at both 2 MHz and 4 MHz with Ltx1. CL is carefully chosen to fairly differentiate the carrier amplitude at both frequencies. To further increase the amplitude difference on the Tx for the robust LSK transmission, NRS6028T3R0NMGJ is used for high-Q Lrx2, and RSF015N06TL is employed for low on-resistance MOSFET switch. Overall specifications of Tx/Rx/textile coils are listed in Table 1. Specifications of textile coils are measured with the network analyzer (E5063A, Keysight).

Fig. 5
figure 5

Overall schematic and components values of the proposed system

Table 1 Prototype inductive link specifications

Figure 6 demonstrates the experimental setup of the proposed system. The Tx/Rx coils are located 0.5 cm vertical distance from the textile coils while the horizontal distance between two textile coils is 60 cm. The coupling coefficient k1 and k2 are 0.79.

Fig. 6
figure 6

Experimental setup of the proposed system

Since the measurement is conducted with a proof-of-concept prototype, the occupied area of the Rx board is 2.4 × 3.3 cm2 with the Commercial Off-the-Shelf (COTS) devices excluding elements adopted only for test purpose, which can be further scaled down with ASIC design.

Figure 7 shows the measured transient waveforms of FD data transmission via textile. Date rate of LSK uplink and FSK downlink telemetries are 50 and 200 kbps, respectively. Considering the Tx has less limitation on area than the Rx, the LSK uplink data can be simply recovered through an envelope detector while the FSK downlink data are recovered through few area-efficient digital logic blocks. The measured bit error rate (BER) of uplink and downlink telemetries are < \(4{ } \times { }10^{ - 5}\) and < \(8{ } \times { }10^{ - 5}\), respectively. The proposed system wirelessly delivers 64mW power to the load while 5.77% DC-to-DC PTE is achieved through the two-coil inductive link along with the textile during simultaneous LSK and FSK modulations. Table 2 presents a comparison with prior works. Since most prior works using the textile coils in the WPT system only demonstrate the proof-of-concept design without either the data rate or PTE, the proposed work is compared with the previous works without textile coils, which report the BER and PTE.

Fig. 7
figure 7

Measured transient waveforms of FD data transmission via textile coils

Table 2 Comparison with previous works

6 Conclusion

This article presents the WPT system via textile which can not only diminish the physical size of IMD but also enable FD transmission with simultaneous FSK downlink and LSK uplink telemetries via textile. Through mathematical analysis and simulation results, this article has analyzed the effect of textile on the WPT system and has realized robust FD transmission at 2MHz and 4 MHz. With a simple circuit structure, minimized physical size, and a fairly high data rate with decent PTE, the proposed system can be applied to diverse IMDs as well as other low-power or battery-free wearable applications. To the best of our knowledge, the proposed work is the first fully implemented WPT system to succeed in FD data transmission via textile.